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Hockey-stick identity. Recurrence relations of binomial coefficients in Pascal's triangle. Pascal's triangle, rows 0 through 7. The hockey stick identity confirms, for example: for n =6, r =2: 1+3+6+10+15=35. In combinatorial mathematics, the hockey-stick identity, [1] Christmas stocking identity, [2] boomerang identity, Fermat's identity or ...
Ice hockey sticks are approximately 150–200 cm long, composed of a long, slender shaft with a flat extension at one end called the blade. National Hockey League (NHL) sticks are up to 63 inches (160 cm) long. [1] The blade is the part of the stick used to contact the puck, and is typically 25 to 40 cm long.
Girl with a field hockey stick. A hockey stick is a piece of sports equipment used by the players in all the forms of hockey to move the ball or puck (as appropriate to the type of hockey) either to push, pull, hit, strike, flick, steer, launch or stop the ball/puck during play with the objective being to move the ball/puck around the playing area using the stick, and then trying to score.
Vandermonde's identity. In combinatorics, Vandermonde's identity (or Vandermonde's convolution) is the following identity for binomial coefficients: for any nonnegative integers r, m, n. The identity is named after Alexandre-Théophile Vandermonde (1772), although it was already known in 1303 by the Chinese mathematician Zhu Shijie. [1]
History of ice hockey. Ice hockey is believed to have evolved from simple stick and ball games played in the 18th and 19th centuries in Britain, Ireland, and elsewhere, primarily bandy, hurling, and shinty. The North American sport of lacrosse was also influential. These games were brought to North America and several similar winter games using ...
The hockey stick identity follows by equating coefficients of . I came up with this proof, which I think is pretty nice, and I can't find it anywhere else, so I just assume its new. EZ132 ( talk ) 19:09, 18 September 2020 (UTC) [ reply ]
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In field hockey, each player carries a stick and cannot take part in the game without it. The stick for an adult is usually in the range 89–95 cm (35–38 in) long. A maximum length of 105 cm (41.3") was stipulated from 2015. [1] The maximum permitted weight is 737 grams. [2] The majority of players use a stick in the range 19 oz to 22 oz ...
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